Daily Practice

Higher

5th June 1956

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
2
Vectors3 marks
a is the column vector (1, -2) and b is (6, 3). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
10 voles are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
5
Standard Form3 marks
Work out (20 x 10^11) / (4 x 10^4). Give your answer in standard form.

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